Dissipative nonconforming virtual element method for the fourth order nonlinear extended Fisher-Kolmogorov equation

DOI10.1016/j.camwa.2023.10.007OpenAlexW4387794371MaRDI QIDQ6189292

Chaofeng Zhang, Lifang Pei, Meng Li

Publication date: 8 February 2024

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2023.10.007

zbMATH Keywords

convergencedissipationnonconforming VEMsnonlinear EFK equation

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global attractor of the extended Fisher-Kolmogorov equation in \(H^k\)spaces
• Virtual element methods for plate bending problems
• A second-order accurate difference scheme for an extended Fisher-Kolmogorov equation
• A triangular bending element based on an energy-orthogonal free formulation
• On fully discrete Galerkin methods of second-order temporal accuracy for the nonlinear Schrödinger equation
• Multidimensional nonlinear diffusion arising in population genetics
• The Morley-type virtual element for plate bending problems
• A new error analysis of nonconforming Bergan's energy-orthogonal element for the extended Fisher-Kolmogorov equation
• Orthogonal cubic spline collocation method for the extended Fisher--Kolmogorov equation
• A topological shooting method and the existence of kinks of the extended Fisher-Kolmogorov equation
• A fully discrete \(C^0\) interior penalty Galerkin approximation of the extended Fisher-Kolmogorov equation
• SUPG stabilization for the nonconforming virtual element method for advection-diffusion-reaction equations
• The nonconforming virtual element method for fourth-order singular perturbation problem
• Morley FEM for the fourth-order nonlinear reaction-diffusion problems
• Conforming and nonconforming conservative virtual element methods for nonlinear Schrödinger equation: a unified framework
• The nonconforming virtual element method for parabolic problems
• The nonconforming virtual element method for elasticity problems
• Finite difference discretization of the extended Fisher-Kolmogorov equation in two dimensions
• The nonconforming virtual element method
• The nonconforming virtual element method for plate bending problems
• Virtual Elements for Linear Elasticity Problems
• Mixed finite element methods for a fourth order reaction diffusion equation
• Divergence free virtual elements for the stokes problem on polygonal meshes
• CONVERGENCE ANALYSIS OF BERGAN’S ENERGY-ORTHOGONAL PLATE ELEMENT
• Stability analysis for the virtual element method
• The fully nonconforming virtual element method for biharmonic problems
• Virtual Elements for the Navier--Stokes Problem on Polygonal Meshes
• Conforming and nonconforming virtual element methods for elliptic problems
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• Robust nonconforming virtual element methods for general fourth-order problems with varying coefficients
• Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework
• The Divergence-Free Nonconforming Virtual Element for the Stokes Problem
• A Stream Virtual Element Formulation of the Stokes Problem on Polygonal Meshes
• Periodic and homoclinic solutions of extended Fisher-Kolmogorov equations
• Existence and stability of traveling fronts in the extended Fisher-Kolmogorov equation.